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Finding the Fourth Proportional to 21,927.29, 32,905.52 and 8,076.29

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Solution

The fourth proportional to 21,927.29, 32,905.52 and 8,076.29 is: 12,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.29 : 32,905.52 = 8,076.29 : x
  2. Step 2: Convert to fraction form
    21,927.29/32,905.52 = 8,076.29/x
  3. Step 3: Cross multiply
    21,927.29x = 32,905.52 × 8,076.29
  4. Step 4: Simplify right side
    21,927.29x = 265,754,377.78
  5. Step 5: Solve for x
    x = 265,754,377.78/21,927.29
  6. Step 6: Final answer
    x = 12,119.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.